Reliability Analysis Calculator — Calculate System Reliability & MTBF

Reliability Analysis Calculator

Calculate system reliability, Mean Time Between Failures (MTBF), failure rates, and availability. Essential for engineering, maintenance planning, and quality assurance.

Step 1: Component Parameters

50 FIT
8,760
3

Understanding Reliability Metrics

Failure Rate (λ) is typically expressed in FIT (Failures in Time = failures per 10⁹ hours). MTBF = 1/λ. Reliability R(t) = e^(-λt) for exponential distribution.

Step 2: Analysis Parameters

Reliability Analysis Notes

Series systems: Reliability decreases with more components. Parallel systems: Reliability increases with redundancy. k-out-of-n: System works if at least k of n components function.

Reliability Analysis Results

Summary
System Comparison
Time Analysis

System Reliability

0.985
At 8,760 hours with failure rate 50 FIT
MTBF
20,000 hrs
Failure Probability
0.015
Availability
0.998
Annual Failure Rate
4.38%

System Configuration Comparison

System Type Components Reliability MTBF (hours)

Reliability Over Time

Reliability Formulas

Exponential Distribution: R(t) = e^(-λt)

Where λ = failure rate, t = time. MTBF = 1/λ. For series systems: R_system = R₁ × R₂ × … × Rₙ. For parallel: R_system = 1 – (1-R₁)(1-R₂)…(1-Rₙ).

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